Answer:
404.7
Step-by-step explanation:
You multiply 10.65 by 38 to get 404.7
Q=1/36 or q=-1/6, for the question
Answer:
1/4 of 10 is 2 1/2
then 7 1/2 is left
Answer:
(a) 
(b) 
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
Solving (c): Number of chirps they started with.
In (b), we have:
Substitute 4k for j
Collect Like Terms
Divide both sides by 3
Substitute 12 for k in
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
